138421766417284 has 243 divisors, whose sum is σ = 293132020760901. Its totient is φ = 57026773077120.

The previous prime is 138421766417159. The next prime is 138421766417317. The reversal of 138421766417284 is 482714667124831.

The square root of 138421766417284 is 11765278.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6669936394884 + 131751830022400 = 2582622^2 + 11478320^2 .

It is a super-2 number, since 2×138421766417284² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 695586765817 + ... + 695586766015.

Almost surely, 2^{138421766417284} is an apocalyptic number.

138421766417284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

138421766417284 is the 11765278-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138421766417284

138421766417284 is an abundant number, since it is smaller than the sum of its proper divisors (154710254343617).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138421766417284 is an equidigital number, since it uses as much as digits as its factorization.

138421766417284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 352 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 64.

The spelling of 138421766417284 in words is "one hundred thirty-eight trillion, four hundred twenty-one billion, seven hundred sixty-six million, four hundred seventeen thousand, two hundred eighty-four".